User:Overthink/Perfect fifth ranges
A table of the ranges of the perfect fifth. Note that smaller EDOs within a precision may support temperaments corresponding to a range they are not a part of, such as 5edo technically being meantone or 53edo tempering out the garischisma.
| Simple MOS
pattern ranges |
Diatonic Range | Meantone/Superpyth | Near-pyth | |||
|---|---|---|---|---|---|---|
| Mavila | M. | Sub-flattone (4\7-15\26) |
P. | Pythagorean (7\12-24\41) |
Sub-schismic (7\12-38\65) | |
| Flattone (15\26-11\19) |
Schismic (38\65-31\53) | |||||
| 4\7 (685.714 ¢) | Lower meantone (meanpop) (11\19-18\31) |
Middle Pythagorean (31\53-55\94) | ||||
| Diatonic | Meantone -> (4\7-7\12) |
Upper meantone (huygens) (18\31-7\12) |
Garischismic (55\94-24\41) | |||
| 7\12 (700 ¢) | Argent (24\41-17\29) |
IDK about subranges here, but many useful edos such as 99edo and 140edo | ||||
| Near-Pythagorean | ||||||
| 10\17 (705.882 ¢) | ||||||
| Superpyth -> (10\17-3\5) |
S. | Shrub region (quasisupra) (10\17-13\22) |
Parapyth/gentle (17\29-10\17) |
Lower gentle (17\29-27\46) | ||
| 3\5 (720 ¢) | Superpyth (13\22-16\27) |
Upper gentle (27\46-47\80) | ||||
| Oneiro | Quasiultra/ultrapyth+ (16\27-3\5) |
Noble region (47\80-10\17) | ||||
| 261 | 278 | ||||||||
| 232 | 249 | ||||||||
| 203 | 220 | ||||||||
| 174 | 191 | 208 | |||||||
| 145 | 162 | 179 | 196 | ||||||
| 116 | 133 | 150 | 167 | 184 | |||||
| 87 | 104 | 121 | 138 | 155 | 172 | ||||
| 58 | 75 | 92 | 109 | 126 | 143 | 160 | 177 | 194b | 211b |
| 29 | 46 | 63 | 80 | 97 | 114 | 131 | 148 | 165 | 182b |
| (0) | 17 | 34 | 51 | 68 | 85 | 102 | 119 | 136 | 153b |
| 205 | 234 | 263 | 292 | ||||
| 164 | 193 | 222 | 251 | 280 | |||
| 123 | 152 | 181 | 210 | 239 | 268 | ||
| 82 | 111 | 140 | 169 | 198 | 227 | 256 | 285 |
| 41 | 70 | 99 | 128 | 157 | 186 | 215 | 244 |
| (0) | 29 | 58 | 87 | 116 | 145 | 174 | 203 |
| 205 | ||||
| 164 | ||||
| 123 | ||||
| 82 | ||||
| 41 | 53 | 65 | 77 | 89 |